88057595025 has 81 divisors (see below), whose sum is σ = 160503349617. Its totient is φ = 46149782400.

The previous prime is 88057594969. The next prime is 88057595051. The reversal of 88057595025 is 52059575088.

It is a happy number.

The square root of 88057595025 is 296745.

It is a perfect power (a square), and thus also a powerful number.

88057595025 is a `hidden beast` number, since 8 + 80 + 5 + 7 + 59 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481846401 + 87575748624 = 21951^2 + 295932^2 .

It is not a de Polignac number, because 88057595025 - 2¹⁷ = 88057463953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 324935640 + ... + 324935910.

Almost surely, 2^88057595025 is an apocalyptic number.

88057595025 is the 296745-th square number.

88057595025 is the 148373-rd centered octagonal number.

It is an amenable number.

88057595025 is a deficient number, since it is larger than the sum of its proper divisors (72445754592).

88057595025 is an equidigital number, since it uses as much as digits as its factorization.

88057595025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 88057595025 in words is "eighty-eight billion, fifty-seven million, five hundred ninety-five thousand, twenty-five".